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Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of energy. How much power is generated by the turbine?( g = 10 m/s2) [2008]

  • a)
    8.1 kW

  • b)
    10.2 kW

  • c)
    12.3 kW

  • d)
    7.0 kW

Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Water falls from a height of 60 m at the rate of 15 kg/s to operate a ...
Given, h = 60m, g = 10 ms–2, Rate of flow of water = 15 kg/s


∴ Power of the falling water = 15 kgs–1 × 10 ms–2 × 60 m = 900 watt.

Loss in energy due to friction




∴ Power generated by the turbine = ( 9000 – 900) watt = 8100 watt = 8.1 kW
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Water falls from a height of 60 m at the rate of 15 kg/s to operate a ...
Given:
Height (h) = 60 m
Rate of water flow (m) = 15 kg/s
Losses due to friction (L) = 10%
Acceleration due to gravity (g) = 10 m/s²

Formula used:
Power (P) = mgh * (1-L/100)

Calculation:
Potential energy of water = mgh
= 15 * 10 * 60
= 9000 J/s

Losses due to friction = L/100 * Potential energy of water
= 10/100 * 9000
= 900 J/s

Power generated by the turbine = (Potential energy of water - Losses due to friction) * g
= (9000 - 900) * 10
= 81000 J/s
= 8.1 kW

Therefore, the power generated by the turbine is 8.1 kW. Hence, option (a) is the correct answer.
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Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of energy. How much power is generated by the turbine?( g = 10 m/s2)[2008]a)8.1 kWb)10.2 kWc)12.3 kWd)7.0 kWCorrect answer is option 'A'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of energy. How much power is generated by the turbine?( g = 10 m/s2)[2008]a)8.1 kWb)10.2 kWc)12.3 kWd)7.0 kWCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of energy. How much power is generated by the turbine?( g = 10 m/s2)[2008]a)8.1 kWb)10.2 kWc)12.3 kWd)7.0 kWCorrect answer is option 'A'. Can you explain this answer?.
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